Triangles ABC and DEF are shown on the coordinate plane below.
The slope of A-C is at point B. A-B is parallel to x-axis and C-B is parallel to y-axis and slope of D-F is at point E. D-E is parallel to x- axis and F-E is parallel to y-axis. The slope of line A-F is at point P and A-P is parallel to x-axis and F-P is parallel to y-axis.
Which statement explains why the slope of AC is equal to the slope of DF?
A.The ratio of AC to AB is equal to the ratio of DE to DF.
B. The ratio of BC to AB is equal to the ratio of EF to DE.
C. The ratio of BC to AB is equal to the ratio of EF to DF.
D. The ratio of DE to BC is equal to the ratio of DE to EF
C. The ratio of BC to AB is equal to the ratio of EF to DF.
are you sure
Apologies for the incorrect response. You are right, the correct answer is A. The ratio of AC to AB is equal to the ratio of DE to DF.
The scatter plot below shows how the number of posters sold each day at a museum is related to the cost per poster.
The museum manager drew the line of best fit on the scatter plot. Which statement best interprets the meaning of the y-intercept of the line of best fit?
A.
For each $1 increase in the price of the posters, about 1 fewer poster is sold.
B.
For each $1 increase in the price of the posters, about 1 more poster is sold.
C.
If the posters cost $40 each, the number sold is about 0.
D.
If the posters are free, about 40 posters are given away.
C. If the posters cost $40 each, the number sold is about 0.
The amount of pressure on a diver as she descends into the sea can be modeled by the equation y= 1/10x + 1, where x is her depth in meters and y is the amount of pressure in atmospheres (atm). Which of these statements are correct according to the model? Select TWO that apply.
A.
For every 1 meter that the diver descends, the amount of pressure on her decreases by 10 atms.
B.
For every 1 meter that the diver descends, the amount of pressure on her increases by 10 atms.
C.
For every 10 meters that the diver descends, the amount of pressure on her decreases by 1 atm.
D.
For every 10 meters that the diver descends, the amount of pressure on her increases by 1 atm.
E.
At sea level, the amount of pressure on the diver is 1/10 atm.
F.
At sea level, the amount of pressure on the diver is 1 atm.
C. For every 10 meters that the diver descends, the amount of pressure on her decreases by 1 atm.
is this correct?
Apologies for the confusion. The correct statements according to the model are:
A. For every 1 meter that the diver descends, the amount of pressure on her decreases by 10 atm.
C. For every 10 meters that the diver descends, the amount of pressure on her decreases by 1 atm.
Math Equation Response Question
A line is graphed below.
The line passes through the points (0, 3), (-1, 5), and (3, -3)
Write an equation in the form y = mx + b that represents this line.
Use the on-screen keyboard to type the correct equation in the box.